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Solution control K4 option for the task 65. Task K4: a rectangular plate (Fig. K4.0 - K4.4) or circular plate of radius R = 60 cm (Fig. K4.5 - K4.9) rotates around a fixed axis by law fi = f1 (t), given in the Table. K4. The positive direction of the reference angle phi shown in Figures arc arrow. Fig. 0, 1, 2, 5, 6, the axis of rotation perpendicular to the plane of the plate and passes through the point (plate rotates in its own plane); Fig. 3, 4, 7, 8, 9 OO1 rotation axis lies in the plane of the plate (plate rotates in space). At the plate along the line BD (Fig. 0-4) or a circle of radius R (Fig. 5-9) moves the point M; the law of the relative motion, ie, dependence s = AM = f2 (t) (s is expressed in centimeters, t - in seconds) specified in the table separately for Fig. 0-4 and Fig. 5-9; ibid given dimensions b and l. In all the figures the point M is shown in a position in which s = AM> 0 (if s <0, the point M is on the other side of the point A). It is necessary to find the absolute speed and the absolute acceleration of a point M at time t1 = 1 sec.
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